Finding the Third Proportional to 41,222 and 58,233

Step by Step Solution

1. Step 1: Write the proportion equation
   41,222 : 58,233 = 58,233 : x
2. Step 2: Convert to fraction form
   41,222/58,233 = 58,233/x
3. Step 3: Cross multiply
   41,222x = 58,233 × 58,233
4. Step 4: Simplify right side
   41,222x = 3,391,082,289
5. Step 5: Solve for x
   x = 3,391,082,289/41,222
6. Step 6: Final answer
   x = 82,263.90